Q. 66 In the following exercise, write... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 12: Q. 66 (page 1174)

In the following exercise, write each sum using summation notation.
$3 + \frac{3}{2} + 1 + \frac{3}{4} + \frac{3}{5} + \frac{1}{2}$

Short Answer

Expert verified

$\begin{array}{l} Thesumwritteninsummationnotationis \\ 3 + \frac{3}{2} + 1 + \frac{3}{4} + \frac{3}{5} + \frac{1}{2} = {鈭�}_{n = 1}^{6} \frac{3}{n} \end{array}$

Step by step solution

Step 1. Given informaiton

$3 + \frac{3}{2} + 1 + \frac{3}{4} + \frac{3}{5} + \frac{1}{2}$

In the following exercise, write each sum using summation notation.

Step 2. Explanation

$\begin{array}{l} Thesumofthefirstntermsofasequencewhosenthtermisaniswritteninsummationnotationas: \\ {鈭�}_{i = 1}^{n} a_{i} = a_{i} = a_{1} + a_{2} + a_{3} + a_{4} + a_{5} + 鈥� + a_{n} \\ The i istheindexofsummationandthe1tellsuswheretostartandthentellsuswheretoend. \\ Here \\ \begin{matrix} n : & 1 & 2 & 3 & 4 & 5 & 6 \\ Terms: & 3 & \frac{3}{2} & 1 & \frac{3}{4} & \frac{3}{5} & \frac{1}{2} \\ Pattern: & \frac{3}{1} & \frac{3}{2} & \frac{3}{3} & \frac{3}{4} & \frac{3}{5} & \frac{3}{6} & ... & \frac{3}{n} \end{matrix} \end{array}$

Step 3. Conclusion

$\begin{array}{l} Fromtheabovetable,wecanconcludethatthegeneraltermsis \frac{3}{n} . \\ Therefore, \\ Thesumwritteninsummationnotationis \\ 3 + \frac{3}{2} + 1 + \frac{3}{4} + \frac{3}{5} + \frac{1}{2} = {鈭�}_{n = 1}^{6} \frac{3}{n} \end{array}$

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91影视

In the following exercise, write each sum using summation notation.
$3 + \frac{3}{2} + 1 + \frac{3}{4} + \frac{3}{5} + \frac{1}{2}$

Short Answer

Step by step solution

Step 1. Given informaiton

Step 2. Explanation

Step 3. Conclusion

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91影视

In the following exercise, write each sum using summation notation.3+32+1+34+35+12

Short Answer

Step by step solution

Step 1. Given informaiton

Step 2. Explanation

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Statistics

Logic and Functions

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, write each sum using summation notation.
$3 + \frac{3}{2} + 1 + \frac{3}{4} + \frac{3}{5} + \frac{1}{2}$